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Natural Science Forum / Physics / Relativity / September 2006Question regarding the relationship between GR and SR
I was wondering what would happen in the following (hypothetical) scenario: Say there is an extremely massive planet with person A on it and person B is in a spaceship outside of its gravity field. (The planet has no atmosphere and it isn't spinning.) The planet is so massive that A's time-rate is twice as slow from B's frame; and B's time-rate is twice as fast from A's frame. Now say A wanted to leave the planet. Would his escape velocity be 0.87c, where gamma=2 according to SR? And if B nudged his ship into the gravity field and it went into free fall, would its velocity, relative to the surface, be 0.87c just before it smashed into it? count zero For the time being, along that matter, you do have a simply to pay an adequate attention to what would follows: However, along the first attempt, you do fall to this ( h = G = 0, 1 / c inequal 0 ), as a magically it would turn along the second attempt to that ( h = 0, G inequal 0 and 1 / c inequal 0 ). Therefore, a definitelly controlled along this ( G = 1 / c = 0, h inequal 0 ), and finally, means a simply, that you do have to believe in a magic, a definitely as a matter a fact. -- Ahmed Ouahi, Architect Best Regards! > I was wondering what would happen in the following (hypothetical) > scenario: [quoted text clipped - 15 lines] > > count zero > I was wondering what would happen in the following (hypothetical) > scenario: [quoted text clipped - 9 lines] > > Would his escape velocity be 0.87c, where gamma=2 according to SR? Yes, as seen by A, but not, I think, by B (I believe that A would appear to have a velocity of 0.866c/2 = 0.433c), due to gravitational/GR effects. > And if B nudged his ship into the gravity field and it went into free > fall, would its velocity, relative to the surface, be 0.87c just > before it smashed into it? Yes, as seen by both A and B. Here on Earth, if you ignore the effects from the sun, a 10 metric ton meteor aquires 7 mg of kinetic energy just before impact (also ignoring the atmosphere), and our time-rate is 10 tons/(10 tons + 7 mg). I can't remember the velocity, but it has the value needed to obtain our time-rate. Phil > count zero | > I was wondering what would happen in the following (hypothetical) | > scenario: [quoted text clipped - 16 lines] | > fall, would its velocity, relative to the surface, be 0.87c just | > before it smashed into it? Yes, [splutter splutter] I can't remember [splutter splutter] | Phil HAHAHAHA!! Androcles >> I was wondering what would happen in the following (hypothetical) >> scenario: [quoted text clipped - 22 lines] >tons/(10 tons + 7 mg). I can't remember the velocity, but it has the >value needed to obtain our time-rate. Thank you. That was the exact information I was looking for. My scenario is obviously oversimplified, but I'm just trying to get a sense of what's going on beyond the complex math. count zero Dear count zero: > I was wondering what would happen in the following > (hypothetical) scenario: [quoted text clipped - 12 lines] > Would his escape velocity be 0.87c, where gamma=2 > according to SR? "gravitational time dilation" "escape velocity" site:.edu ~30 hits > And if B nudged his ship into the gravity field and it > went into free fall, would its velocity, relative to the > surface, be 0.87c just before it smashed into it? Sounds reasonable that, as with Newton, what it takes to get out is what you get when you fall in. But I suspect it will be more complicated than this... Welcome. The noise here is a little high, but the literate on relativity hang out here also. David A. Smith | Dear count zero: | [quoted text clipped - 31 lines] | | David A. Smith Literate on relativity: http://www.androcles01.pwp.blueyonder.co.uk/ (Numerate as well) Once you disagree with Smith you get plonked, so much for his fuckin' hypocritical welcomes. On Thu, 28 Sep 2006 06:09:41 -0700, "N:dlzc D:aol T:com \(dlzc\)" <N: dlzc1 D:cox T:net@nospam.com> wrote: >Dear count zero: > [quoted text clipped - 18 lines] >"gravitational time dilation" "escape velocity" site:.edu >~30 hits I did a lot of searching on google, but I didn't seem to find an answer to this specific question. >> And if B nudged his ship into the gravity field and it >> went into free fall, would its velocity, relative to the [quoted text clipped - 6 lines] >Welcome. The noise here is a little high, but the literate on >relativity hang out here also. Thanks. The noise rate definitely seems high: one guy is telling me something about "magic". I don't know if he's being sarcastic in a completely weird way, or if he stopped taking his medication... count zero Dear count zero: > On Thu, 28 Sep 2006 06:09:41 -0700, "N:dlzc D:aol T:com > \(dlzc\)" <N: > dlzc1 D:cox T:net@nospam.com> wrote: ... >>Welcome. The noise here is a little high, but the literate on >>relativity hang out here also. [quoted text clipped - 5 lines] > in a completely weird way, or if he stopped taking his > medication... Assume everyone here is either on or off his/her meds. It is safer to assume you are passing through an asylum, where everyone is in medical garb. David A. Smith > Dear count zero: > [quoted text clipped - 29 lines] > Welcome. The noise here is a little high, but the literate on > relativity hang out here also. When I grow up I wanna be hanging... er ahhhh literate... er ahhhh maybe neither one. ;-) << Pound, R. V., Snider J. L. (November 2, 1964). The more accurate measurement. "Effect of Gravity on Nuclear Resonance". Physical Review Letters 13 (18): 539-540. DOI:10.1103/PhysRevLett.13.539. Retrieved on 2006-09-27. http://dx.doi.org/10.1103/PhysRevLett.13.539 >> http://en.wikipedia.org/wiki/Pound-Rebka_experiment Somebody is messing with the Wiki. Probably Androcles or one of his Medrassas flunkies. Sue... > David A. Smith > I was wondering what would happen in the following (hypothetical) > scenario: > > Say there is an extremely massive planet with person A on it Person A would have low blood pressure. < and person B is in a spaceship outside of its gravity field. (The planet > has no atmosphere and it isn't spinning.) Person B can never escape the planet's gravity http://hyperphysics.phy-astr.gsu.edu/hbase/forces/isq.html > The planet is so massive that A's time-rate is twice as slow from B's > frame; and B's time-rate is twice as fast from A's frame. BS! Person A is dead from low blood pressure. > Now say A wanted to leave the planet. Person A is dead so can't want anything. > Would his escape velocity be 0.87c, where gamma=2 according to SR? 1/2 the lightning stroke's duration minus the square of the sums of the Newtonian light inertial flux drag...adjusted for the embankments roughness non-renormalization. > And if B nudged his ship into the gravity field and it went into free > fall, would its velocity, relative to the surface, be 0.87c just > before it smashed into it? Gawd! Is Person B still alive? Tell Bush's boosters about it. Any bugs alive and you get your money back. http://en.wikipedia.org/wiki/Tom_DeLay Sue.... > count zero >> I was wondering what would happen in the following (hypothetical) >> scenario: [quoted text clipped - 34 lines] > >Sue.... LOL! Yes I guess both Person A and Person B would be having a "bad hair day"... I will hazard a guess that G-force is proportional to escape velocity. If that's true, since 11 m/s = 1 G, 261,000 m/s would equal 24,000 Gs. If a jet-fighter pilot blacks out at around 8 Gs because the blood flow in his brain stops - his blood pressure is zero - 24,000 Gs would probably turn his brain into Bose-Einstein condensate... But if Person A has a hard time getting out of bed, he doesn't have to worry: the density of his planet would probably be greater than a neutron star and collapse into a black hole. Person B, btw, is no fool: she did an EVA before recklessly sending her spaceship into the former-planet/black-hole. Now imagine Einstein riding his motorcycle at the speed of light alongside a beam of light and what that would have done to his blood pressure... count zero |
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